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Finding the Fourth Proportional to 206,307.63, 309,568.05 and 87,947.19

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Solution

The fourth proportional to 206,307.63, 309,568.05 and 87,947.19 is: 131,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,307.63 : 309,568.05 = 87,947.19 : x
  2. Step 2: Convert to fraction form
    206,307.63/309,568.05 = 87,947.19/x
  3. Step 3: Cross multiply
    206,307.63x = 309,568.05 × 87,947.19
  4. Step 4: Simplify right side
    206,307.63x = 27,225,640,111.28
  5. Step 5: Solve for x
    x = 27,225,640,111.28/206,307.63
  6. Step 6: Final answer
    x = 131,966.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.